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On the coplanar eccentric non restricted co-orbital dynamics

Authors: Leleu, A.; Robutel, P.; Correia, ACM

Ref.: Celest. Mech. Dyn. Astron. 130, 24 (2018)

Abstract: We study the phase space of eccentric coplanar co-orbitals in the non-restricted case. Departing from the quasi-circular case, we describe the evolution of the phase space as the eccentricities increase. We find that over a given value of the eccentricity, around 0.5 for equal mass co-orbitals, important topological changes occur in the phase space. These changes lead to the emergence of new co-orbital configurations and open a continuous path between the previously distinct trojan domains near the L4 and L5 eccentric Lagrangian equilibria. These topological changes are shown to be linked with the reconnection of families of quasi-periodic orbits of non-maximal dimension.